230791846464 has 189 divisors, whose sum is σ = 681144420411. Its totient is φ = 74713052160.

The previous prime is 230791846451. The next prime is 230791846469. The reversal of 230791846464 is 464648197032.

The square root of 230791846464 is 480408.

It is a perfect power (a square), and thus also a powerful number.

230791846464 is a `hidden beast` number, since 2 + 30 + 7 + 91 + 8 + 464 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27383630400 + 203408216064 = 165480^2 + 451008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 230791846464.

It is not an unprimeable number, because it can be changed into a prime (230791846469) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 426602034 + ... + 426602574.

Almost surely, 2^230791846464 is an apocalyptic number.

230791846464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

230791846464 is the 480408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230791846464

230791846464 is an abundant number, since it is smaller than the sum of its proper divisors (450352573947).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230791846464 is an frugal number, since it uses more digits than its factorization.

230791846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 230791846464 in words is "two hundred thirty billion, seven hundred ninety-one million, eight hundred forty-six thousand, four hundred sixty-four".